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Finding the Fourth Proportional to 3,770.98, 5,203.72 and 2,278.02

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Solution

The fourth proportional to 3,770.98, 5,203.72 and 2,278.02 is: 3,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.98 : 5,203.72 = 2,278.02 : x
  2. Step 2: Convert to fraction form
    3,770.98/5,203.72 = 2,278.02/x
  3. Step 3: Cross multiply
    3,770.98x = 5,203.72 × 2,278.02
  4. Step 4: Simplify right side
    3,770.98x = 11,854,146.52
  5. Step 5: Solve for x
    x = 11,854,146.52/3,770.98
  6. Step 6: Final answer
    x = 3,143.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.